Nonlinear Sciences

Authors and titles for February 2021

[1] arXiv:2102.00427 [pdf, other]

Title: A study on dynamics and multiscale complexity of a neuro system

Sanjay K. Palit, Sayan Mukherjee

Comments: 10 pages

Subjects: Chaotic Dynamics (nlin.CD)

[2] arXiv:2102.00520 [pdf, other]

Title: Positive Characteristic Darboux-Jouanolou Integrability of Differential Forms

Edileno de Almeida Santos, Sergio Rodrigues

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Rings and Algebras (math.RA)

[3] arXiv:2102.00569 [pdf, other]

Title: Multi-Spike Solutions to the Fractional Gierer-Meinhardt System in a One-Dimensional Domain

Daniel Gomez, Juncheng Wei, Wen Yang

Comments: 35 pages, 3 figures

Subjects: Pattern Formation and Solitons (nlin.PS)

[4] arXiv:2102.00684 [pdf, other]

Title: On the three-dimensional consistency of Hirota's discrete Korteweg-de Vries Equation

Nalini Joshi, Nobutaka Nakazono

Comments: 12 pages, 3 figures

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph)

[5] arXiv:2102.02042 [pdf, other]

Title: Analytic instability thresholds in folded Kerr resonators of arbitrary finesse

William J. Firth, John B. Geddes, Nathaniel J. Karst, Gian-Luca Oppo

Comments: 6 pages, 2 figures

Subjects: Pattern Formation and Solitons (nlin.PS); Optics (physics.optics)

[6] arXiv:2102.02093 [pdf, other]

Title: Analysis of trophic networks: an optimisation approach

Jean-Guy Caputo, Valerie Girardin, Arnaud Knippel, Hieu Nguyen, Nathalie Niquil, Quentin Nogues

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Optimization and Control (math.OC)

[7] arXiv:2102.02249 [pdf, other]

Title: Bubbling transition as a mechanism of destruction of synchronous oscillations of identical microbubble contrast agents

Ivan Garashchuk, Dmitry Sinelshchikov

Comments: To appear in Chaos: An Interdisciplinary Journal of Nonlinear Science

Journal-ref: Chaos 31, 023130 (2021)

Subjects: Chaotic Dynamics (nlin.CD); Dynamical Systems (math.DS)

[8] arXiv:2102.02272 [pdf, other]

Title: Coupled Hypergraph Maps and Chaotic Cluster Synchronization

Tobias Böhle, Christian Kuehn, Raffaella Mulas, Jürgen Jost

Comments: 6 pages, 5 figures

Journal-ref: EPL (2021)

Subjects: Chaotic Dynamics (nlin.CD); Dynamical Systems (math.DS); Pattern Formation and Solitons (nlin.PS)

[9] arXiv:2102.02296 [pdf, other]

Title: The fractional nonlinear PT dimer

Mario I. Molina

Comments: 9 pages, 5 figures

Subjects: Pattern Formation and Solitons (nlin.PS)

[10] arXiv:2102.02552 [pdf, other]

Title: The Influence of a Pitchfork Bifurcation of the Critical Points of a Symmetric Caldera Potential Energy Surface on Dynamical Matching

Y. Geng, M. Katsanikas, M. Agaoglou, S. Wiggins

Comments: 11 pages, 8 figures

Subjects: Chaotic Dynamics (nlin.CD); Dynamical Systems (math.DS); Chemical Physics (physics.chem-ph)

[11] arXiv:2102.02916 [pdf, other]

Title: Complexity reduction in the 3D Kuramoto model

Ana Elisa D. Barioni, Marcus A. M. de Aguiar

Comments: 24 pages, 5 figures

Journal-ref: Chaos, Solitons and Fractals 149 (2021) 111090

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Chaotic Dynamics (nlin.CD)

[12] arXiv:2102.03260 [pdf, other]

Title: External field-induced dynamics of a charged particle on a closed helix

Ansgar Siemens (1), Peter Schmelcher (1 and 2) ((1) Zentrum für Optische Quantentechnologien, Fachbereich Physik, Universität Hamburg, (2) Hamburg Center for Ultrafast Imaging, Universität Hamburg)

Comments: 10 pages, 5 figures

Journal-ref: Phys. Rev. E 103, 052217 (2021)

Subjects: Chaotic Dynamics (nlin.CD)

[13] arXiv:2102.03437 [pdf, other]

Title: Forward sensitivity analysis of the FitzHugh-Nagumo system: Parameter estimation

Shady E. Ahmed, Omer San, Sivaramakrishnan Lakshmivarahan

Subjects: Pattern Formation and Solitons (nlin.PS); Optimization and Control (math.OC)

[14] arXiv:2102.03445 [pdf, other]

Title: A new approach to separation of variables for the Clebsch integrable system. Part I: Reduction to quadratures

Yu. Fedorov, F. Magri, T. Skrypnyk

Comments: The key points of this submission had been reported in the FDIS 2019 conference and some previous workshops

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Algebraic Geometry (math.AG)

[15] arXiv:2102.03599 [pdf, other]

Title: A new approach to separation of variables for the Clebsch integrable system. Part II: Inversion of the Abel--Prym map

Yu. Fedorov, F. Magri, T. Skrypnyk

Comments: The key points of this submission had been reported in the FDIS 2019 conference and some previous workshops

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Algebraic Geometry (math.AG)

[16] arXiv:2102.03635 [pdf, other]

Title: Symmetry-breaking mechanism for the formation of cluster chimera patterns

Malbor Asllani, Bram A. Siebert, Alex Arenas, James P. Gleeson

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Pattern Formation and Solitons (nlin.PS)

[17] arXiv:2102.03663 [pdf, other]

Title: Analytical construction of soliton families in one- and two-dimensional nonlinear Schr\"odinger equations with non-parity-time-symmetric complex potentials

Jianke Yang

Comments: 19 pages, 2 figures

Subjects: Pattern Formation and Solitons (nlin.PS)

[18] arXiv:2102.03784 [pdf, other]

Title: Elliptic solutions to the KP hierarchy and elliptic Calogero-Moser model

V. Prokofev, A. Zabrodin

Comments: 20 pages, no figures

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph)

[19] arXiv:2102.03938 [pdf, other]

Title: Replication of Period-Doubling Route to Chaos in Coupled Systems with Delay

Mehmet Onur Fen, Fatma Tokmak Fen

Comments: 22 pages, 4 figures

Subjects: Chaotic Dynamics (nlin.CD); Dynamical Systems (math.DS)

[20] arXiv:2102.04087 [pdf, other]

Title: Generation of wave packets and breathers by oscillating kinks in the sine-Gordon system

M.M. Bogdan, O.V. Charkina

Comments: 25 pages, 9 figures

Journal-ref: Fiz. Nizk. Temp. V.47, 173-183 (2021)

Subjects: Pattern Formation and Solitons (nlin.PS)

[21] arXiv:2102.04116 [pdf, other]

Title: Feedback-induced desynchronization and oscillation quenching in a population of globally coupled oscillators

Ayumi Ozawa, Hiroshi Kori

Comments: 34 pages, 8 figures

Journal-ref: Phys. Rev. E 103, 062217 (2021)

Subjects: Adaptation and Self-Organizing Systems (nlin.AO)

[22] arXiv:2102.04207 [pdf, other]

Title: Lax Pair for a Novel Two-Dimensional Lattice

Maria N. Kuznetsova

Journal-ref: SIGMA 17 (2021), 088, 13 pages

Subjects: Exactly Solvable and Integrable Systems (nlin.SI)

[23] arXiv:2102.04368 [pdf, html, other]

Title: Coherence resonance in influencer networks

Ralf Tönjes, Carlos E. Fiore, Tiago Pereira

Comments: the arxiv submission includes supplementary notes. Fig.1 pdf repaired in current version

Journal-ref: Nat.Commun. 12, 72 (2021)

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Disordered Systems and Neural Networks (cond-mat.dis-nn); Physics and Society (physics.soc-ph)

[24] arXiv:2102.04715 [pdf, other]

Title: Phase transitions on a class of generalized Vicsek-like models of collective motion

Pau Clusella, Romualdo Pastor-Satorras

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Statistical Mechanics (cond-mat.stat-mech)

[25] arXiv:2102.04815 [pdf, other]

Title: Construction of complex solutions to nonlinear partial differential equations using simpler solutions

Alexander V. Aksenov, Andrei D. Polyanin

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph); Analysis of PDEs (math.AP)

[26] arXiv:2102.04850 [pdf, other]

Title: Duffing-type equations: singular points of amplitude profiles and bifurcations

Jan Kyzioł, Andrzej Okniński

Comments: 21 pages, 12 figures, section on related results added. arXiv admin note: text overlap with arXiv:2004.09236

Journal-ref: Acta Phys. Pol. B 52(10) (2021) 1239-1262

Subjects: Chaotic Dynamics (nlin.CD)

[27] arXiv:2102.04904 [pdf, other]

Title: From Poincare Maps to Lagrangian Descriptors: The Case of the Valley Ridge Inflection Point Potential

R. Crossley, M. Agaoglou, M. Katsanikas, S. Wiggins

Comments: 19 pages

Subjects: Chaotic Dynamics (nlin.CD); Dynamical Systems (math.DS); Chemical Physics (physics.chem-ph)

[28] arXiv:2102.05125 [pdf, other]

Title: Fractional discrete vortex solitons

Cristian Mejía-Cortés, Mario I. Molina

Comments: 15 pages, 4 figures

Subjects: Pattern Formation and Solitons (nlin.PS); Optics (physics.optics)

[29] arXiv:2102.05332 [pdf, other]

Title: The closeness of the Ablowitz-Ladik lattice to the Discrete Nonlinear Schr\"odinger equation

Dirk Hennig, Nikos I. Karachalios, Jesús Cuevas-Maraver

Comments: 13 pages, 3 figures

Journal-ref: Journal of Differential Equations (2022)

Subjects: Pattern Formation and Solitons (nlin.PS)

[30] arXiv:2102.05515 [pdf, other]

Title: The changing notion of chimera states, a critical review

Sindre W. Haugland

Comments: Review paper. 10 pages, 5 figures. Significantly expanded introduction since the first version, added a few references on solitary states and scroll-ring chimeras as well as a sentence in the concluding remarks

Journal-ref: J. Phys. Complex. 2 032001 (2021)

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Chaotic Dynamics (nlin.CD)

[31] arXiv:2102.05609 [pdf, other]

Title: Entropical Analysis of an Opinion Formation Model Presenting a Spontaneous Third Position Emergence

Marcos E. Gaudiano, Jorge A. Revelli

Comments: 16 pages, 13 figures

Subjects: Adaptation and Self-Organizing Systems (nlin.AO)

[32] arXiv:2102.06087 [pdf, other]

Title: Chimeras and clusters emerging from robust-chaos dynamics

M. G. Cosenza, O. Alvarez-Llamoza, A. V. Cano

Comments: To appear in Complexity

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Chaotic Dynamics (nlin.CD)

[33] arXiv:2102.06506 [pdf, other]

Title: Multihumped nondegenerate fundamental bright solitons in $N$-coupled nonlinear Schr\"{o}dinger system

R. Ramakrishnan, S. Stalin, M. Lakshmanan

Comments: Accepted for publication in Journal of Physics A: Mathematical and Theoretical as a Fast Track Communication

Subjects: Pattern Formation and Solitons (nlin.PS)

[34] arXiv:2102.06912 [pdf, other]

Title: Universal gauge-invariant cellular automata

Pablo Arrighi, Marin Costes, Nathanaël Eon

Subjects: Cellular Automata and Lattice Gases (nlin.CG); Discrete Mathematics (cs.DM)

[35] arXiv:2102.06957 [pdf, other]

Title: Identifying symmetries and predicting cluster synchronization in complex networks

Pitambar Khanra, Subrata Ghosh, Karin Alfaro-Bittner, Prosenjit Kundu, Stefano Boccaletti, Chittaranjan Hens, Pinaki Pal

Comments: 5 pages, 3 figures (Communicated to Physical Review Letters)

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Dynamical Systems (math.DS); Chaotic Dynamics (nlin.CD); Physics and Society (physics.soc-ph)

[36] arXiv:2102.07038 [pdf, other]

Title: Lump chains in the KP-I equation

Charles Lester, Andrey Gelash, Dmitry Zakharov, Vladimir Zakharov

Comments: 13 pages, 10 figures

Subjects: Exactly Solvable and Integrable Systems (nlin.SI)

[37] arXiv:2102.07123 [pdf, other]

Title: The genesis of two-hump, W-shaped and M-shaped soliton propagations of the coupled Schr\"odinger-Boussinesq equations with conformable derivative

Prakash Kumar Das

Comments: 19 pages 5 figures

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph); Analysis of PDEs (math.AP)

[38] arXiv:2102.07151 [pdf, other]

Title: Darboux transformations and solutions of nonlocal Hirota and Maxwell-Bloch equations

Ling An, Chuanzhong Li, Lixiang Zhang

Comments: 22 Pages, accepted for publication in Studies in Applied Mathematics

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph); Optics (physics.optics)

[39] arXiv:2102.07220 [pdf, other]

Title: Dynamics of two languages competing on a network: a case study

T. Kapitula, P.G. Kevrekidis

Comments: 22 pages, 14 figures

Subjects: Pattern Formation and Solitons (nlin.PS)

[40] arXiv:2102.07322 [pdf, other]

Title: Nanoptera in weakly nonlinear woodpile and diatomic granular chains

Guo Deng, Christopher J. Lustri, Mason A. Porter

Comments: 29 pages, 9 figures

Subjects: Pattern Formation and Solitons (nlin.PS); Materials Science (cond-mat.mtrl-sci); Dynamical Systems (math.DS)

[41] arXiv:2102.07352 [pdf, other]

Title: Characteristic Lie Algebras of Integrable Differential-Difference Equations in 3D

I.T. Habibullin, A.R. Khakimova

Comments: 24 pages

Subjects: Exactly Solvable and Integrable Systems (nlin.SI)

[42] arXiv:2102.07550 [pdf, other]

Title: Revealing the phase space structure of Hamiltonian systems using the action

Francisco Gonzalez Montoya, Makrina Agaoglou, Matthaios Katsanikas

Subjects: Chaotic Dynamics (nlin.CD); Dynamical Systems (math.DS); Chemical Physics (physics.chem-ph)

[43] arXiv:2102.07939 [pdf, other]

Title: Embedded solitons in second-harmonic-generating lattices

Hadi Susanto, Boris A. Malomed

Journal-ref: Chaos, Solitons & Fractals 142 (2021): 110534

Subjects: Pattern Formation and Solitons (nlin.PS); Optics (physics.optics)

[44] arXiv:2102.08566 [pdf, other]

Title: Functional Control of Oscillator Networks

Tommaso Menara, Giacomo Baggio, Danielle S. Bassett, Fabio Pasqualetti

Journal-ref: Nat Commun 13, 4721 (2022)

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Dynamical Systems (math.DS); Optimization and Control (math.OC); Pattern Formation and Solitons (nlin.PS)

[45] arXiv:2102.09881 [pdf, other]

Title: On Quasi-integrable Deformation Scheme of The KdV System

Kumar Abhinav, Partha Guha

Comments: 30 pages, 4 figures. It is an improved version of an earlier preprint [arXiv:1612.07499[math-ph]]. However the complete formulation has been changed, all the calculations and outcomes are new. New results have been obtained, mainly following substantial work done in the particular topic in last few years following the publication of the older preprint

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph)

[46] arXiv:2102.09989 [pdf, other]

Title: Node differentiation dynamics along the route to synchronization in complex networks

Christophe Letellier, Irene Sendiña-Nadal, Ludovico Minati, I. Leyva

Comments: 12 pages, 11 figures

Journal-ref: Phys. Rev. E 104, 014303 (2021)

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Chaotic Dynamics (nlin.CD)

[47] arXiv:2102.09992 [pdf, other]

Title: Chaos in a generalized Euler's three-body problem

Takahisa Igata

Comments: 12 pages, 2 figures; v2: published version

Journal-ref: Class. Quantum Grav. 38 195009 (2021)

Subjects: Chaotic Dynamics (nlin.CD); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)

[48] arXiv:2102.10102 [pdf, other]

Title: Effect of chaotic agent dynamics on coevolution of cooperation and synchronization

Rohitashwa Chattopadhyay, Shubhadeep Sadhukhan, Sagar Chakraborty

Comments: 11 pages, 6 figures

Journal-ref: Chaos 30, 113111 (2020)

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Biological Physics (physics.bio-ph)

[49] arXiv:2102.10103 [pdf, other]

Title: Evolutionary dynamics of the delayed replicator-mutator equation: Limit cycle and cooperation

Sourabh Mittal, Archan Mukhopadhyay, Sagar Chakraborty

Journal-ref: Phys. Rev. E 101, 042410 (2020)

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Biological Physics (physics.bio-ph); Populations and Evolution (q-bio.PE)

[50] arXiv:2102.10138 [pdf, other]

Title: Connecting minimal chimeras and fully asymmetric chaotic attractors through equivariant pitchfork bifurcations

Sindre W. Haugland, Katharina Krischer

Comments: 5 pages, 2 figures + Supplementary Information 3 pages, 2 figures

Journal-ref: Phys. Rev. E 103, 060201 (2021)

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Chaotic Dynamics (nlin.CD)